Adaptive multiresolution exemplar-based texture synthesis on animated fluids

We propose an approach to synthesize textures for the animated free surfaces of fluids. Because fluids deform and experience topological changes, it is challenging to maintain fidelity to a reference texture exemplar while avoiding visual artifacts such as distortion and discontinuities. We introduce an adaptive multiresolution synthesis approach that balances fidelity to the exemplar and consistency with the fluid motion. Given a 2D exemplar texture, an orientation field from the first frame, an animated velocity field, and polygonal meshes corresponding to the animated liquid, our approach advects the texture and the orientation field across frames, yielding a coherent sequence of textures conforming to the per-frame geometry. Our adaptiveness relies on local 2D and 3D distortion measures, which guide multiresolution decisions to resynthesize or preserve the advected content. We prevent popping artifacts by enforcing gradual changes in color over time. Our approach works well both on slow-moving liquids and on turbulent ones with splashes. In addition, we demonstrate good performance on a variety of stationary texture exemplars.